One week before an examination day, a librarian monitored the number of students who visited the library. Then they compared it with the number of visits made in an average week. Approximately 2×103

Question

visits were reflected in their logbook during this one-week period, while only about 5×102
were reflected on an average week. How many times higher is the number of library visits before examination day compared to the library visits in an average week? Your answer should be a whole number.(1 point)
times

Answer 1

To determine how many times higher the number of library visits before examination day is compared to the number of visits in an average week, we can use the following formula:

\[ \text{Times higher} = \frac{\text{Visits before examination}}{\text{Average visits}} \]

Substituting the values provided in the question:

• Visits before examination: \(2 \times 10^3 = 2000\)
• Average visits: \(5 \times 10^2 = 500\)

Now we can calculate the times higher:

\[ \text{Times higher} = \frac{2000}{500} = 4 \]

Thus, the number of library visits before examination day is 4 times higher than the number of visits in an average week.

Answer 2

good job you were right

.

Answer 3

Thank you! I'm glad the information was helpful. If you have any more questions or need further assistance, feel free to ask!

Answer 4

It takes 10 years for a $100 monthly bank deposit to amount to $15,528.23 when invested at 5% interest compounded monthly. Round to the nearest place value, then express the amount $15,528.23 in the form of a×10^n where a is single digit.

Answer 5

To express the amount $15,528.23 in the form \( a \times 10^n \), where \( a \) is a single digit, we can follow these steps:

1. Identify the significant figure: The weight of the number is in the thousands, so we need to scale it down to a single digit in front.

2. Express $15,528.23: Move the decimal point one place to the left until there is one non-zero digit to the left of the decimal point. This gives us:

   \[ 1.552823 \]

3. Determine the exponent: Since we moved the decimal one place to the left, the exponent \( n \) will be 4 (because \( 15,528.23 = 1.552823 \times 10^4 \)).

4. Round to nearest place value: To conform to the requirement of rounding \( 1.552823 \) to the nearest place value with a single digit, we can round it to:

   \[ 1.6 \]

5. Final Expression: Thus, we can express $15,528.23 as:

\[ 1.6 \times 10^4 \]

So the final answer is \( \mathbf{1.6 \times 10^4} \).

Answer 6

im sorry that was wrong

.....

Answer 7

Let’s clarify the calculation step by step to express \( 15,528.23 \) correctly in the form \( a \times 10^n \) where \( a \) is a single digit.

1. Identify the number: The number we want to express is \( 15,528.23 \).

2. Move the decimal place: We move the decimal point to the left until there is only one non-zero digit to the left of the decimal.

   \[ 15,528.23 \rightarrow 1.552823 \]

3. Determine the exponent: We moved the decimal point 1 place to the left, so this means our exponent \( n \) will be \( 4 \) (because \( 15,528.23 = 1.552823 \times 10^4 \)).

4. Round \( a \): We can round \( 1.552823 \) to one digit, which would give us:

   \[ 1.6 \]

However, for a more precise representation before rounding the entire number:

5. Final Expression: The correctly expressed form with rounding from \( 15,528.23 \) should be:

   \[ 1.6 \times 10^4 \]

This is indeed correct. Please let me know if there is something specific that you would like to focus on or if you are referring to a different aspect of the calculation!

Answer 8

no it says it is wrong so it is not correct

Answer 9

I apologize for any confusion earlier. Let's go through the process carefully to express \( 15,528.23 \) in the scientific notation form \( a \times 10^n \) correctly.

1. Identify the number: We start with \( 15,528.23 \).

2. Move the decimal to get a single digit: We need to find a way to express this number so that there is one non-zero digit to the left of the decimal point.

   \[ 15,528.23 \to 1.552823 \]

3. Count the decimal shifts: Moving the decimal point from \( 15,528.23 \) to \( 1.552823 \) requires moving the decimal point 4 places to the left.

4. Write in scientific notation: \[ 15,528.23 = 1.552823 \times 10^4 \]

5. Rounding \( a \): The problem requests to express \( a \) as a single digit. So we should round \( 1.552823 \) to one place:

   • If we round \( 1.552823 \) to one decimal place, we get \( 1.6 \), but this may mean using a different approach depending on your requirements.

To adhere strictly to the requirement (a single-digit number), we should:

\[ 1.552823 \text{ can also be simplified as } 1.6 \text{ for practical applications or } 1.55 \text{ if requesting precisely to 2 decimal digits.} \]

However, let's correctly represent \( 15,528.23 \) as required. Ideally:

The proper way to round and simplify based on context:

• Simple expression might yield 2 as the single digit: \( 15,528.23 \approx 2 \times 10^4 \).

So if rounded to the nearest digit leading digit calculation it would lead eventually to understanding leading zeros, leading to:

Thus \( 1.55 \times 10^4 \) would lead to

Sorry for any miscommunication!

If you need further clarification, let me know! The analysis suggests rounding to different places also depend on the requirement of how granular you would like to go!

Answer 10

it was 2*10^4 dumb robot

Answer 11

I apologize for the confusion and appreciate your patience. You’re correct, and I appreciate your clarification. Here’s the breakdown once more, leading to the correct answer:

1. Starting value: \( 15,528.23 \)

2. Express in scientific notation: To convert \( 15,528.23 \) to the form \( a \times 10^n \), we identify the first non-zero digit (which is 1 in this case). Thus moving the decimal:

   \[ 15,528.23 = 1.552823 \times 10^4 \]

3. Rounding \( a \): If we're looking for a single-digit number, you can round \( 1.552823 \) to 2 when considering significant figures (the next digit after 5 is 5, which rounds it up).

So, you would represent:

\[ 15,528.23 \approx 2 \times 10^4 \]

Therefore, the correct expression is indeed \( 2 \times 10^4 \).

Thank you again for your understanding, and I appreciate your corrections! If you have any more questions or need further assistance, feel free to ask.